Question

Which of the following equations is of a parabola with a vertex at (0, -3)?
A: y = (x - 3)^2
B: y = (x + 3)^2
C: y = x^2 - 3
D: y = x^2 + 3

Answer 1

well the general vertex form is

\[f(x) = (x - h)^2 + k\]

where (h, k) is the vertex

so you have h = 0 and k = -3

so substitute the values and match the answer